The two introduced legislation Tuesday that includes a three-year extension of the Deferred Action for Childhood Arrivals (DACA) program with $7.6 billion for the Trump administration's border plan.

"I’ll be the first to admit this ‘three-for-three’ approach is far from a perfect solution, but it would provide a temporary fix by beginning the process of improving border security and ensuring DACA recipients will not face potential deportation,” Flake said in a statement.

Heitkamp added that "this is a bipartisan path forward that would fund significant security improvements at our borders and allow Congress to continue to work toward a long-term solution for Dreamers."

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The legislation comes after the Senate rejected three immigration proposals that would have included permanent protections for 1.8 million immigrants brought into the country illegally as children.

Senators are eyeing a short-term fix, potentially dropping the provision into next month's government funding bill, after months of negotiations have failed to break an entrenched stalemate.

Several GOP senators said this week that the most likely path in the Senate would be a years-long provision included in the omnibus, which has to pass by March 24 in order to prevent a shutdown.

Any proposal, either as a stand-alone bill or the mammoth spending bill, would need 60 votes to ultimately clear the chamber.

But it remains unclear if Democrats would embrace a short-term fix that would allow Trump to build part of the U.S.-Mexico border wall. Democratic aides are privately skeptical about accepting a temporary DACA fix in exchange for what would be permanent sections of the wall.

The Trump administration announced last year that it was ending the DACA program, which allows immigrants brought into the country as children to work and go to school without fear of deportation.

Congress initially had a March 5 deadline to pass a fix, but two court decisions have thrown that timeline into limbo.

The Supreme Court, this week, rejected the Trump administration's request to leapfrog over an appeals court and hear their request to overturn an injunction requiring DACA to stay on the books while ligation plays out.